Atkin-Lehner |
2- 3+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
31284b |
Isogeny class |
Conductor |
31284 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
35520 |
Modular degree for the optimal curve |
Δ |
-2035998634032 = -1 · 24 · 33 · 112 · 794 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6120,-196651] |
[a1,a2,a3,a4,a6] |
j |
-58680557568000/4712959801 |
j-invariant |
L |
1.0746023797782 |
L(r)(E,1)/r! |
Ω |
0.26865059494425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125136g1 31284a1 |
Quadratic twists by: -4 -3 |